Details

analyze961.0ms (13.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample59.0ms (0.8%)

Algorithm

1×

intervals

Results

20.0ms	36×	body	1024	valid
12.0ms	182×	body	128	valid
6.0ms	25×	body	512	valid
2.0ms	13×	body	256	valid
2.0ms	5×	body	1024	invalid
1.0ms	6×	body	512	invalid
1.0ms	28×	body	128	nan
1.0ms	13×	body	128	invalid
1.0ms	5×	body	256	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify233.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4918	16
1	4918	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 5.3b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
0.0b	(/.f64 y (+.f64 y z))
5.0b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_4464`
118×	`*-un-lft-identity_binary64_4458`
90×	`unpow-prod-down_binary64_4534`
80×	`add-sqr-sqrt_binary64_4479` `add-cube-cbrt_binary64_4490`
25×	`associate-/l*_binary64_4405`
19×	`distribute-lft-out_binary64_4411`
16×	`add-exp-log_binary64_4493`
12×	`associate-/r/_binary64_4406`
7×	`add-cbrt-cube_binary64_4491` `div-exp_binary64_4506` `div-inv_binary64_4455` `associate-/r*_binary64_4404`
6×	`flip3-+_binary64_4461` `flip-+_binary64_4432`
5×	`sqr-pow_binary64_4430`
4×	`pow1_binary64_4516` `pow-exp_binary64_4523`
3×	`pow-unpow_binary64_4532` `add-log-exp_binary64_4494`
2×	`cbrt-undiv_binary64_4489` `frac-2neg_binary64_4469` `clear-num_binary64_4457` `pow-to-exp_binary64_4524`
1×	`pow-pow_binary64_4527`

Counts

3 → 172

Calls

3 calls:

13.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
10.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
6.0ms	(/.f64 y (+.f64 y z))

series709.0ms (9.6%)

Counts

3 → 9

Calls

3 calls:

404.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
254.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
51.0ms	(/.f64 y (+.f64 y z))

simplify112.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4930	4020
1	4930	4020

prune159.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	4	182

Merged error: 0.5b

Counts

182 → 4

Compiler

Compiled 3774 to 845 computations (77.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_4479` `add-cube-cbrt_binary64_4490` `*-un-lft-identity_binary64_4458` `times-frac_binary64_4464`
3×	`add-cbrt-cube_binary64_4491` `associate-/r_binary64_4404` `associate-/l_binary64_4405`
2×	`add-exp-log_binary64_4493` `associate-/l/_binary64_4407`
1×	`pow1_binary64_4516` `cbrt-undiv_binary64_4489` `exp-neg_binary64_4502` `frac-2neg_binary64_4469` `add-log-exp_binary64_4494` `div-exp_binary64_4506` `neg-sub0_binary64_4453` `clear-num_binary64_4457` `exp-diff_binary64_4503` `div-inv_binary64_4455`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 z)) y)

series45.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

45.0ms

(/.f64 (exp.f64 (neg.f64 z)) y)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5021	435

prune25.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0.5b

Counts

36 → 4

Compiler

Compiled 465 to 157 computations (66.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
0.1b	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
0.4b	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
0.4b	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)

rewrite84.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

194×	`sqrt-prod_binary64_4473`
172×	`*-un-lft-identity_binary64_4458`
168×	`times-frac_binary64_4464`
120×	`add-sqr-sqrt_binary64_4479` `add-cube-cbrt_binary64_4490`
96×	`unpow-prod-down_binary64_4534`
26×	`distribute-lft-out_binary64_4411`
14×	`associate-/r*_binary64_4404` `add-exp-log_binary64_4493`
12×	`associate-/l*_binary64_4405`
8×	`add-cbrt-cube_binary64_4491` `associate-/r/_binary64_4406` `sqrt-div_binary64_4474`
6×	`pow1_binary64_4516` `pow-unpow_binary64_4532`
4×	`flip3-+_binary64_4461` `add-log-exp_binary64_4494` `div-exp_binary64_4506` `sqrt-undiv_binary64_4478` `div-inv_binary64_4455` `flip-+_binary64_4432` `pow-exp_binary64_4523`
2×	`sqrt-pow2_binary64_4476` `sqr-pow_binary64_4430` `cbrt-undiv_binary64_4489` `frac-2neg_binary64_4469` `clear-num_binary64_4457` `pow-to-exp_binary64_4524` `pow-pow_binary64_4527`

Counts

4 → 268

Calls

4 calls:

14.0ms	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
13.0ms	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
8.0ms	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
8.0ms	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))

series955.0ms (13%)

Counts

4 → 12

Calls

4 calls:

378.0ms	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
375.0ms	(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
102.0ms	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
99.0ms	(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))

simplify106.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4990	6720
1	4990	6720

prune254.0ms (3.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	280	4	284

Merged error: 0.5b

Counts

284 → 4

Compiler

Compiled 8940 to 1244 computations (86.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 y z))
0.6b	(cbrt.f64 (+.f64 y z))
1.0b	(pow.f64 (/.f64 y (cbrt.f64 (+.f64 y z))) y)
1.0b	(.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y) (pow.f64 (/.f64 y (cbrt.f64 (+.f64 y z))) y))

rewrite82.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`unpow-prod-down_binary64_4534`
95×	`add-exp-log_binary64_4493`
84×	`add-sqr-sqrt_binary64_4479`
65×	`times-frac_binary64_4464`
60×	`*-un-lft-identity_binary64_4458`
48×	`prod-exp_binary64_4504` `pow-exp_binary64_4523`
39×	`add-cube-cbrt_binary64_4490`
37×	`cbrt-prod_binary64_4486`
31×	`associate-r_binary64_4400`
26×	`div-exp_binary64_4506`
25×	`unswap-sqr_binary64_4426`
20×	`cbrt-div_binary64_4487`
19×	`associate-l_binary64_4401`
14×	`pow-to-exp_binary64_4524`
13×	`sqr-pow_binary64_4430`
12×	`associate-/r/_binary64_4406`
10×	`flip3-+_binary64_4461` `flip-+_binary64_4432`
8×	`1-exp_binary64_4499` `distribute-lft-out_binary64_4411` `rec-exp_binary64_4505`
6×	`add-cbrt-cube_binary64_4491`
5×	`pow1_binary64_4516`
4×	`frac-times_binary64_4468` `add-log-exp_binary64_4494`
3×	`pow-unpow_binary64_4532` `div-inv_binary64_4455`
2×	`associate-l/_binary64_4403` `pow1/3_binary64_4537` `associate-r/_binary64_4402`
1×	`cbrt-unprod_binary64_4488` `*-commutative_binary64_4391` `pow-prod-down_binary64_4526` `pow-pow_binary64_4527`

Counts

4 → 191

Calls

4 calls:

36.0ms	(.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y) (pow.f64 (/.f64 y (cbrt.f64 (+.f64 y z))) y))
10.0ms	(pow.f64 (/.f64 y (cbrt.f64 (+.f64 y z))) y)
3.0ms	(cbrt.f64 (+.f64 y z))
3.0ms	(cbrt.f64 (+.f64 y z))

series1.2s (17%)

Counts

4 → 12

Calls

4 calls:

549.0ms	(.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y) (pow.f64 (/.f64 y (cbrt.f64 (+.f64 y z))) y))
256.0ms	(pow.f64 (/.f64 y (cbrt.f64 (+.f64 y z))) y)
223.0ms	(cbrt.f64 (+.f64 y z))
220.0ms	(cbrt.f64 (+.f64 y z))

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4952	7109
1	4952	7109

prune254.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	204	3	207

Merged error: 0b

Counts

207 → 3

Compiler

Compiled 7483 to 2317 computations (69% saved)

regimes51.0ms (0.7%)

Compiler: Compiled 192 to 129 computations (32.8% saved)

bsearch77.0ms (1%)

Steps

Iters	Range		Point
9	2.658630693265938e-08	1.0084226283573314	0.5977659477328693
9	-201.19502555545705	-2.3498798340979043e-05	-18.08893616273098

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	80
1	45	80

end0.0ms (0%)

sample1.7s (22.8%)

Algorithm

1×

intervals

Results

416.0ms	6112×	body	128	valid
405.0ms	976×	body	1024	valid
147.0ms	576×	body	512	valid
70.0ms	189×	body	1024	invalid
55.0ms	233×	body	512	invalid
53.0ms	1110×	body	128	nan
50.0ms	332×	body	256	valid
25.0ms	380×	body	128	invalid
25.0ms	167×	body	256	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 156 to 100 computations (35.9% saved)

Details

analyze961.0ms (13.1%)

sample59.0ms (0.8%)

simplify233.0ms (3.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite49.0ms (0.7%)

series709.0ms (9.6%)

simplify112.0ms (1.5%)

prune159.0ms (2.2%)

localize6.0ms (0.1%)

rewrite8.0ms (0.1%)

series45.0ms (0.6%)

simplify73.0ms (1%)

prune25.0ms (0.3%)

localize10.0ms (0.1%)

rewrite84.0ms (1.1%)

series955.0ms (13%)

simplify106.0ms (1.4%)

prune254.0ms (3.5%)

localize16.0ms (0.2%)

rewrite82.0ms (1.1%)

series1.2s (17%)

simplify90.0ms (1.2%)

prune254.0ms (3.5%)

regimes51.0ms (0.7%)

bsearch77.0ms (1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (22.8%)

Profiling